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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bailey chain ： ウィキペディア英語版 Bailey pair In mathematics, a Bailey pair is a pair of sequences satisfying certain relations, and a Bailey chain is a sequence of Bailey pairs. Bailey pairs were introduced by while studying the second proof of the Rogers–Ramanujan identities, and Bailey chains were introduced by . ==Definition== The q-Pochhammer symbols $(a;q)\_n$ are defined as: :$(a;q)\_n\; =\; \backslash prod\_(1-aq^j)\; =\; (1-a)(1-aq)\backslash cdots(1-aq^).$ A pair of sequences (α''n'',β''n'') is called a Bailey pair if they are related by :$\backslash beta\_n=\backslash sum\_^n\backslash frac\}$ or equivalently :$\backslash alpha\_n\; =\; (1-aq^)\backslash sum\_^n\backslash fracq^\backslash beta\_j\}\{(q;q)\_\{n-j\}\}.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bailey pair」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.